18.508 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.061 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.061 * [taylor]: Taking taylor expansion of 0.5 in x 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.063 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.064 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.065 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.090 * [taylor]: Taking taylor expansion of 0.5 in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.092 * [taylor]: Taking taylor expansion of 0.5 in x 0.118 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.118 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.119 * [taylor]: Taking taylor expansion of 0.5 in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.121 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.143 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.145 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.146 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.148 * * * [progress]: simplifying candidates 0.149 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.153 * * [simplify]: iteration 0 : 157 enodes (cost 308 ) 0.156 * * [simplify]: iteration 1 : 484 enodes (cost 286 ) 0.163 * * [simplify]: iteration 2 : 1409 enodes (cost 284 ) 0.193 * * [simplify]: iteration 3 : 5001 enodes (cost 284 ) 0.195 * [simplify]: Simplified to: (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.195 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 2 / 4 0.291 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.295 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.314 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.320 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.335 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.335 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.335 * [taylor]: Taking taylor expansion of 0.5 in x 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.335 * [taylor]: Taking taylor expansion of 0.5 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.335 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.336 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.336 * [taylor]: Taking taylor expansion of 0.5 in x 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.336 * [taylor]: Taking taylor expansion of 0.5 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.336 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.349 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.349 * [taylor]: Taking taylor expansion of 0.5 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.360 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.360 * [taylor]: Taking taylor expansion of 0.5 in x 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.360 * [taylor]: Taking taylor expansion of 0.5 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.360 * [taylor]: Taking taylor expansion of 0.5 in x 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.360 * [taylor]: Taking taylor expansion of 0.5 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.370 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.370 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.372 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.374 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.376 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.377 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.379 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.381 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.382 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.382 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.382 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.382 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.382 * [taylor]: Taking taylor expansion of 0.5 in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.383 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.385 * [taylor]: Taking taylor expansion of 0.5 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.385 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.386 * [taylor]: Taking taylor expansion of 0.5 in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.386 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.386 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.434 * [taylor]: Taking taylor expansion of 0.5 in x 0.434 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.434 * [taylor]: Taking taylor expansion of 0.5 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.436 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.438 * [taylor]: Taking taylor expansion of 0.5 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.439 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.482 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.483 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of 0.5 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.483 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.484 * [taylor]: Taking taylor expansion of 0.5 in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.486 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.486 * [taylor]: Taking taylor expansion of 0.5 in x 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of 0.5 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.486 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * * * [progress]: simplifying candidates 0.535 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 1.0))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (hypot 1.0 x)) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* 0.5 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 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1.0 x)))))))) (/ (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 1.0 (- 1.0 0.5)))) (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) 0.584 * * * [progress]: adding candidates to table 0.884 * * [progress]: iteration 3 / 4 0.884 * * * [progress]: picking best candidate 0.889 * * * * [pick]: Picked # 0.889 * * * [progress]: localizing error 0.903 * * * [progress]: generating rewritten candidates 0.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.921 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2) 0.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.938 * * * [progress]: generating series expansions 0.938 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.939 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in x 0.940 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 0.940 * [taylor]: Taking taylor expansion of 0.5 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.940 * [taylor]: Taking taylor expansion of 0.5 in x 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.941 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.941 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.941 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 0.943 * [taylor]: Taking taylor expansion of 0.5 in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 0.943 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.943 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.943 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.943 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.943 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.943 * [taylor]: Taking taylor expansion of 0.5 in x 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.944 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.944 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in x 0.946 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 0.946 * [taylor]: Taking taylor expansion of 0.5 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.946 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.946 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.947 * [taylor]: Taking taylor expansion of 0.5 in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.947 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.947 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 0.949 * [taylor]: Taking taylor expansion of 0.5 in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 0.949 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.950 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.950 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.950 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.950 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.950 * [taylor]: Taking taylor expansion of 0.5 in x 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.950 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.950 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.950 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 1.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.045 * [taylor]: Taking taylor expansion of 0.5 in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.045 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.045 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.045 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.045 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.045 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.046 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.046 * [taylor]: Taking taylor expansion of 0.5 in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.048 * [taylor]: Taking taylor expansion of 0.5 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.048 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.048 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.048 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.048 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.049 * [taylor]: Taking taylor expansion of 0.5 in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.051 * [taylor]: Taking taylor expansion of 0.5 in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.051 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.052 * [taylor]: Taking taylor expansion of 0.5 in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.054 * [taylor]: Taking taylor expansion of 0.5 in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.054 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.054 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.054 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.054 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.055 * [taylor]: Taking taylor expansion of 0.5 in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in (x) around 0 1.146 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 1.146 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.146 * [taylor]: Taking taylor expansion of 0.5 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.146 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.147 * [taylor]: Taking taylor expansion of 0.5 in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.149 * [taylor]: Taking taylor expansion of 0.5 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.149 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.149 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.149 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.149 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.149 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.150 * [taylor]: Taking taylor expansion of 0.5 in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 1.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.152 * [taylor]: Taking taylor expansion of 0.5 in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.152 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.152 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.152 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.152 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.154 * [taylor]: Taking taylor expansion of 0.5 in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.155 * [taylor]: Taking taylor expansion of 0.5 in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.155 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.155 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.155 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.155 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.155 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.155 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.156 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.159 * [taylor]: Taking taylor expansion of 0.5 in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.250 * [approximate]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.250 * [taylor]: Taking taylor expansion of 0.5 in x 1.250 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.250 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.250 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.250 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.251 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.251 * [taylor]: Taking taylor expansion of 0.5 in x 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.251 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.254 * [taylor]: Taking taylor expansion of 0.5 in x 1.254 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.254 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.254 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.254 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.254 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.254 * [taylor]: Taking taylor expansion of 0.5 in x 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.255 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [approximate]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 1.297 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.297 * [taylor]: Taking taylor expansion of 0.5 in x 1.297 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.297 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.299 * [taylor]: Taking taylor expansion of 0.5 in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.301 * [taylor]: Taking taylor expansion of 0.5 in x 1.301 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.301 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.301 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.301 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.301 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.301 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.302 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.302 * [taylor]: Taking taylor expansion of 0.5 in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [approximate]: Taking taylor expansion of (/ 0.5 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in (x) around 0 1.347 * [taylor]: Taking taylor expansion of (/ 0.5 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in x 1.347 * [taylor]: Taking taylor expansion of 0.5 in x 1.347 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.347 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.347 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.347 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.348 * [taylor]: Taking taylor expansion of 0.5 in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.350 * [taylor]: Taking taylor expansion of (/ 0.5 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in x 1.350 * [taylor]: Taking taylor expansion of 0.5 in x 1.350 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))) in x 1.350 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.350 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.351 * [taylor]: Taking taylor expansion of 0.5 in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2) 1.393 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.393 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.394 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.394 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.396 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.398 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.399 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.401 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.403 * * * [progress]: simplifying candidates 1.409 * [simplify]: Simplifying using # : (/ (exp (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (* (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (pow (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)) (+ (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ (* (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (- (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ (sqrt (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (/ (* 1.0 (- 1.0 0.5)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (- (/ (* 1.0 (- 1.0 0.5)) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (+ (log 0.5) (- (log 1.0) (log (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (+ (log 0.5) (log (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (* 0.5 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (* 0.5 0.5) 0.5) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (* (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 0.5 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (/ 1.0 (hypot 1.0 x)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 0.5 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ 1.0 (hypot 1.0 x)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 0.5 1) (/ (/ 1.0 (hypot 1.0 x)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 0.5 1) (/ (/ 1.0 (hypot 1.0 x)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) 1) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) 1) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ 1.0 (hypot 1.0 x))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (hypot 1.0 x)) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 1.416 * * [simplify]: iteration 0 : 401 enodes (cost 1320 ) 1.424 * * [simplify]: iteration 1 : 1740 enodes (cost 1175 ) 1.452 * * [simplify]: iteration 2 : 5001 enodes (cost 1148 ) 1.457 * [simplify]: Simplified to: (exp (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (log (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (exp (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (pow (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 3) (sqrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (pow (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3)) (+ (* (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ (sqrt (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (sqrt (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (/ (* 1.0 (- 1.0 0.5)) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (+ (/ (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (- 1.0 0.5) (/ (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 1.0))) (- (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (pow (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (pow (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (* (cbrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (cbrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (pow (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 0.5 (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (/ 1.0 (hypot 1.0 x)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 0.5 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ 1.0 (hypot 1.0 x)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 0.5 (/ (/ 1.0 (hypot 1.0 x)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 0.5 (/ (/ 1.0 (hypot 1.0 x)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ 1.0 (hypot 1.0 x))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (/ 1.0 (hypot 1.0 x)) (/ (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.5)) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (hypot 1.0 x)) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (* (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (- 0.5 (/ 0.5 (hypot 1.0 x)))) (* (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (- 0.5 (/ 0.5 (hypot 1.0 x)))) (* (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (- 0.5 (/ 0.5 (hypot 1.0 x)))) (/ (/ 0.5 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (/ 0.5 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (/ 0.5 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 1.458 * * * [progress]: adding candidates to table 1.755 * * [progress]: iteration 4 / 4 1.755 * * * [progress]: picking best candidate 1.760 * * * * [pick]: Picked # 1.760 * * * [progress]: localizing error 1.776 * * * [progress]: generating rewritten candidates 1.777 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.835 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.844 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.860 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2 2) 1.872 * * * [progress]: generating series expansions 1.872 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.873 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in (x) around 0 1.873 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in x 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.873 * [taylor]: Taking taylor expansion of 0.5 in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.873 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.873 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.873 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.874 * [taylor]: Taking taylor expansion of 0.5 in x 1.875 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.875 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.875 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.875 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 1.877 * [taylor]: Taking taylor expansion of 0.5 in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.877 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.877 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.877 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.877 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.877 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.877 * [taylor]: Taking taylor expansion of 0.5 in x 1.878 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.878 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.878 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in x 1.880 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.880 * [taylor]: Taking taylor expansion of 0.5 in x 1.880 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.880 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.880 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.880 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.880 * [taylor]: Taking taylor expansion of 0.5 in x 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.885 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.885 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.885 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 1.888 * [taylor]: Taking taylor expansion of 0.5 in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.888 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.888 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.888 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.888 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.888 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.888 * [taylor]: Taking taylor expansion of 0.5 in x 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.889 * [taylor]: Taking taylor expansion of 1.0 in x 1.889 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.889 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.889 * [taylor]: Taking taylor expansion of 1.0 in x 1.890 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in (x) around 0 1.982 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 1.982 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.982 * [taylor]: Taking taylor expansion of 0.5 in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.982 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.982 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.982 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.982 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.982 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.982 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 1.983 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.983 * [taylor]: Taking taylor expansion of 0.5 in x 1.984 * [taylor]: Taking taylor expansion of 1.0 in x 1.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.985 * [taylor]: Taking taylor expansion of 0.5 in x 1.985 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.985 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.985 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.985 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.985 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.985 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.985 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.985 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.985 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.986 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.986 * [taylor]: Taking taylor expansion of 0.5 in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 1.989 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.989 * [taylor]: Taking taylor expansion of 0.5 in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.989 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.989 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.989 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.989 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.989 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.989 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.990 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.990 * [taylor]: Taking taylor expansion of 0.5 in x 1.990 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.992 * [taylor]: Taking taylor expansion of 0.5 in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.992 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.992 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.992 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.992 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.992 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.992 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.992 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.992 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.992 * [taylor]: Taking taylor expansion of 1.0 in x 1.993 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.993 * [taylor]: Taking taylor expansion of 0.5 in x 1.994 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))))) in (x) around 0 2.084 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))))) in x 2.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.085 * [taylor]: Taking taylor expansion of 0.5 in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.085 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.085 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.085 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.086 * [taylor]: Taking taylor expansion of 0.5 in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))))) in x 2.088 * [taylor]: Taking taylor expansion of 0.5 in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in x 2.088 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))) in x 2.088 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.088 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.088 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.088 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.088 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.088 * [taylor]: Taking taylor expansion of 1.0 in x 2.089 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.089 * [taylor]: Taking taylor expansion of 0.5 in x 2.089 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.091 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (* 0.5 (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))))) in x 2.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.091 * [taylor]: Taking taylor expansion of 0.5 in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.091 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.091 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.091 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.091 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.092 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.092 * [taylor]: Taking taylor expansion of 0.5 in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))))) in x 2.094 * [taylor]: Taking taylor expansion of 0.5 in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in x 2.094 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))) in x 2.094 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.094 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.094 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.094 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.094 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.094 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.095 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.095 * [taylor]: Taking taylor expansion of 0.5 in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.185 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.185 * [approximate]: Taking taylor expansion of (* 0.5 (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in (x) around 0 2.185 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in x 2.186 * [taylor]: Taking taylor expansion of 0.5 in x 2.186 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 2.186 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.186 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.186 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.186 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.186 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.186 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.186 * [taylor]: Taking taylor expansion of 0.5 in x 2.187 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.187 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.188 * [taylor]: Taking taylor expansion of 1.0 in x 2.191 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) in x 2.191 * [taylor]: Taking taylor expansion of 0.5 in x 2.191 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 2.191 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.191 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.191 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.191 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.191 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.191 * [taylor]: Taking taylor expansion of 0.5 in x 2.192 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.192 * [taylor]: Taking taylor expansion of 1.0 in x 2.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.192 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.192 * [taylor]: Taking taylor expansion of 1.0 in x 2.193 * [taylor]: Taking taylor expansion of 1.0 in x 2.247 * [approximate]: Taking taylor expansion of (* 0.5 (* (/ 1 (hypot 1.0 (/ 1 x))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in (x) around 0 2.247 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 (hypot 1.0 (/ 1 x))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 2.247 * [taylor]: Taking taylor expansion of 0.5 in x 2.247 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1.0 (/ 1 x))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 2.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.247 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.247 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.247 * [taylor]: Taking taylor expansion of 1.0 in x 2.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.247 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.248 * [taylor]: Taking taylor expansion of 1.0 in x 2.249 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.249 * [taylor]: Taking taylor expansion of 0.5 in x 2.249 * [taylor]: Taking taylor expansion of 1.0 in x 2.252 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 (hypot 1.0 (/ 1 x))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))))) in x 2.252 * [taylor]: Taking taylor expansion of 0.5 in x 2.252 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1.0 (/ 1 x))) (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.252 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.253 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.253 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.253 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.253 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.253 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.253 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.253 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.253 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.254 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.254 * [taylor]: Taking taylor expansion of 0.5 in x 2.254 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 2.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.309 * [taylor]: Taking taylor expansion of 0.5 in x 2.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.310 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.310 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.310 * [taylor]: Taking taylor expansion of 1.0 in x 2.310 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.310 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.310 * [taylor]: Taking taylor expansion of 1.0 in x 2.311 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.311 * [taylor]: Taking taylor expansion of 0.5 in x 2.311 * [taylor]: Taking taylor expansion of 1.0 in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.315 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.315 * [taylor]: Taking taylor expansion of 0.5 in x 2.315 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.315 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.315 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.315 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.315 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.315 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.315 * [taylor]: Taking taylor expansion of 1.0 in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.315 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.315 * [taylor]: Taking taylor expansion of 1.0 in x 2.316 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.316 * [taylor]: Taking taylor expansion of 0.5 in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.320 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.370 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.370 * [approximate]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in (x) around 0 2.370 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.370 * [taylor]: Taking taylor expansion of 0.5 in x 2.370 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.370 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.370 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.370 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.370 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.370 * [taylor]: Taking taylor expansion of 0.5 in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.371 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.372 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 2.373 * [taylor]: Taking taylor expansion of 0.5 in x 2.373 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 2.373 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.373 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 2.373 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.373 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.373 * [taylor]: Taking taylor expansion of 0.5 in x 2.374 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.374 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.374 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [approximate]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 2.420 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.420 * [taylor]: Taking taylor expansion of 0.5 in x 2.420 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.420 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.420 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.420 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.420 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.420 * [taylor]: Taking taylor expansion of 1.0 in x 2.421 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.421 * [taylor]: Taking taylor expansion of 0.5 in x 2.422 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.424 * [taylor]: Taking taylor expansion of 0.5 in x 2.424 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.424 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.424 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.424 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.424 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.424 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.425 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.425 * [taylor]: Taking taylor expansion of 0.5 in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [approximate]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in (x) around 0 2.470 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.470 * [taylor]: Taking taylor expansion of 0.5 in x 2.470 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.470 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.470 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.470 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.470 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.470 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.470 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.470 * [taylor]: Taking taylor expansion of 1.0 in x 2.470 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.470 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.470 * [taylor]: Taking taylor expansion of 1.0 in x 2.471 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.471 * [taylor]: Taking taylor expansion of 0.5 in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (/ 0.5 (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 2.473 * [taylor]: Taking taylor expansion of 0.5 in x 2.473 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ -1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 2.473 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.473 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 2.473 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.474 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.474 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.474 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.475 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.475 * [taylor]: Taking taylor expansion of 0.5 in x 2.475 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 2 2) 2.516 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.516 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.516 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.518 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.518 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.518 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.520 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.520 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.522 * * * [progress]: simplifying candidates 2.527 * [simplify]: Simplifying using # : (/ (exp (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (exp (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (cbrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (* (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (sqrt (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (- (* (* 1.0 (- 1.0 0.5)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (pow (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 3) (pow (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 3)) (+ (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ (* (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))))) (- (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (- (* (/ (* 1.0 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0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (* (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (- (* 0.5 (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (* 0.5 (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (* 0.5 (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (* 0.5 (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (* 0.5 (* (/ 1 (hypot 1.0 x)) (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (/ 0.5 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 2.552 * * [simplify]: iteration 0 : 728 enodes (cost 5651 ) 2.565 * * [simplify]: iteration 1 : 3158 enodes (cost 5056 ) 2.607 * * [simplify]: iteration 2 : 5001 enodes (cost 5048 ) 2.627 * [simplify]: Simplified to: (exp (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (log (- (/ (* 1.0 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 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x)))))) (/ 1.0 (hypot 1.0 x))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ 1.0 (hypot 1.0 x)) (sqrt (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ 1.0 (hypot 1.0 x))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))))) (/ (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)))) (/ (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (* 0.5 (- (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (* 0.5 (- (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (* 0.5 (- (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1 (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))))) (/ (* 0.5 (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) (hypot 1.0 x)) (/ (* 0.5 (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) (hypot 1.0 x)) (/ (* 0.5 (sqrt (/ 1 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) (hypot 1.0 x)) (/ (/ 0.5 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (/ 0.5 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (/ 0.5 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 2.630 * * * [progress]: adding candidates to table 3.130 * [progress]: [Phase 3 of 3] Extracting. 3.130 * * [regime]: Finding splitpoints for: (# # # #) 3.133 * * * [regime-changes]: Trying 3 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) x) 3.133 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 3.154 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 3.179 * * * * [regimes]: Trying to branch on x from (# # # #) 3.199 * * * [regime]: Found split indices: #